Discretization of nonlinear models by Sinc collocation-interpolation methods
نویسندگان
چکیده
منابع مشابه
Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for initial value problems
A Sinc-collocation method has been proposed by Stenger, and he also gave theoretical analysis of the method in the case of a ‘scalar’ equation. This paper extends the theoretical results to the case of a ‘system’ of equations. Furthermore, this paper proposes more efficient method by replacing the variable transformation employed in Stenger’s method. The efficiency is confirmed by both of theor...
متن کاملSolution of Troesche's problem by double exponential Sinc collocation method
In this investigation, the Sinc collocation method based on double exponential transformation is developed to solve the Troesche's problem. Properties of this method are utilized to reduce the system of strongly nonlinear two point boundary value problem to same nonlinear algebraic equations. Combining double exponential transformation through Sinc collocation method causes the remarkable resul...
متن کاملThe application of the Sinc-Collocation approach based on derivative interpolation in numerical oceanography
In this paper, the application of a Sinc-Collocation approach based on first derivative interpolation in numerical oceanography is presented. The specific model of interest involves a hydrodynamic model of wind-driven currents in coastal regions and semi-enclosed seas with depth-dependent vertical eddy viscosity. The model is formulated in two different but equivalent systems; a complex-velocit...
متن کاملNumerical Solution of Troesch’s Problem by Sinc-Collocation Method
A new algorithm is presented for solving Troesch’s problem. The numerical scheme based on the sinc-collocation technique is deduced. The equation is reduced to systems of nonlinear algebraic equations. Some numerical experiments are made. Compared with the modified homotopy perturbation technique (MHP), the variational iteration method and the Adomian decomposition method. It is shown that the ...
متن کاملSpectral Filtering for Improved Performance of Collocation Discretization Methods
heterogeneous and dynamic problems of engineering technology and systems for industry and government. ISR is a permanent institute of the University of Maryland, within the Glenn L. Martin Institute of Technology/A. James Clark School of Engineering. It is a National Science Foundation Engineering Research Center. Web site http://www.isr.umd.edu I R INSTITUTE FOR SYSTEMS RESEARCH TECHNICAL RESE...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1996
ISSN: 0898-1221
DOI: 10.1016/0898-1221(96)00126-5